Title
Higher-order automatic differentiation of mathematical functions.
Abstract
Functions of mathematical physics such as the Bessel functions, the Chebyshev polynomials, the Gauss hypergeometric function and so forth, have practical applications in many scientific domains. On the one hand, differentiation formulas provided in reference books apply to real or complex variables. These do not account for the chain rule. On the other hand, based on the chain rule, the automatic differentiation has become a natural tool in numerical modeling. Nevertheless automatic differentiation tools do not deal with the numerous mathematical functions.
Year
DOI
Venue
2015
10.1016/j.cpc.2014.12.010
Computer Physics Communications
Keywords
Field
DocType
Higher-order derivatives,Mathematical functions,Automatic differentiation,Operator overloading
Chebyshev polynomials,Differential equation,Operator overloading,Function (mathematics),Mathematical analysis,Computer science,Chain rule,Automatic differentiation,Complex variables,Bessel function
Journal
Volume
ISSN
Citations 
189
0010-4655
2
PageRank 
References 
Authors
0.41
4
2
Name
Order
Citations
PageRank
Isabelle Charpentier151.56
Claude Dal Cappello220.41